What is the Least Common Multiple of 95616 and 95625?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 95616 and 95625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95616 and 95625, than apply into the LCM equation.

GCF(95616,95625) = 9
LCM(95616,95625) = ( 95616 × 95625) / 9
LCM(95616,95625) = 9143280000 / 9
LCM(95616,95625) = 1015920000

Least Common Multiple (LCM) of 95616 and 95625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95616 and 95625. First we will calculate the prime factors of 95616 and 95625.

Prime Factorization of 95616

Prime Factorization of 95625

Now multiplying the highest exponent prime factors to calculate the LCM of 95616 and 95625.

LCM(95616,95625) = 2⁷ × 3² × 83¹ × 5⁴ × 17¹
LCM(95616,95625) = 1015920000